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107411481296 = 2473741961861
BaseRepresentation
bin110010000001000111…
…0010010001011010000
3101021020200122121020222
41210002032102023100
53224434314400141
6121202200452212
710521520345460
oct1440216221320
9337220577228
10107411481296
1141609a87759
1218997a7a068
13a18a146b32
1452ad4cdba0
152bd9c3414b
hex19023922d0

107411481296 has 80 divisors (see below), whose sum is σ = 244854744960. Its totient is φ = 44681725440.

The previous prime is 107411481271. The next prime is 107411481329. The reversal of 107411481296 is 692184114701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1705406 + ... + 1767266.

It is an arithmetic number, because the mean of its divisors is an integer number (3060684312).

Almost surely, 2107411481296 is an apocalyptic number.

107411481296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107411481296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122427372480).

107411481296 is an abundant number, since it is smaller than the sum of its proper divisors (137443263664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

107411481296 is a wasteful number, since it uses less digits than its factorization.

107411481296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62332 (or 62326 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 44.

Adding to 107411481296 its reverse (692184114701), we get a palindrome (799595595997).

The spelling of 107411481296 in words is "one hundred seven billion, four hundred eleven million, four hundred eighty-one thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 112 148 259 296 419 518 592 838 1036 1676 2072 2933 3352 4144 5866 6704 11732 15503 23464 31006 46928 61861 62012 108521 123722 124024 217042 247444 248048 433027 434084 494888 866054 868168 989776 1732108 1736336 2288857 3464216 4577714 6928432 9155428 16021999 18310856 25919759 32043998 36621712 51839518 64087996 103679036 128175992 181438313 207358072 256351984 362876626 414716144 725753252 959031083 1451506504 1918062166 2903013008 3836124332 6713217581 7672248664 13426435162 15344497328 26852870324 53705740648 107411481296